Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication

Tazaki, Asahi; Takeuchi, Shintaro; Miyauchi, Suguru; Zhang, Lucy T.; Onishi, Ryo; Kajishima, Takeo

doi:https://doi.org/10.1017/jmech.2020.38

Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication

Tazaki, Asahi; Takeuchi, Shintaro; Miyauchi, Suguru et al.

Journal of Mechanics, 2020, 36(5), 637-648

アクセス数:807件（2025-07-12 19:49 集計）

固定URL: https://hdl.handle.net/11094/76915

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タイトル	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
著者	著者名 Tazaki, Asahi
	NRID 1000050372628 1000050372628 ORCID 0000-0003-0091-4542 0000-0003-0091-4542 researchmap permalink 50372628 50372628 Scopus Author ID 35474283000 35474283000 著者名 Takeuchi, Shintaro
	NRID 1000000758691 1000000758691 著者名 Miyauchi, Suguru
	著者名 Zhang, Lucy T.
	NRID 1000030414361 1000030414361 著者名 Onishi, Ryo
	NRID 1000030185772 1000030185772 著者名 Kajishima, Takeo
キーワード等	Lubrication
	Permeable membrane
	Pressure discontinuity
	Discrete-forcing immersed boundary method
内容	This article has been published in a revised form in Journal of Mechanics [https://doi.org/10.1017/jmech.2020.38]. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © 2020 The Society of Theoretical and Applied Mechanics.
抄録	To understand the lubrication-dominated permeation through a membrane, numerical simulations of permeation through a moving corrugated permeable membrane is carried out with a fully validated numerical method. Through comparisons between the numerical results and the results of an asymptotic analysis of permeate flux (under an infinitesimal permeability condition) using Reynolds lubrication equation, the effect of permeation on lubrication and its inverse effect (i.e., the dependence of permeation on lubrication) are discussed. The linear and nonlinear dependences of the relaxation of the lubrication pressure due to membrane permeation are identified. The effect of the tangential component of the permeate flux is evaluated by a linear analysis, and the limitation of Reynolds-type lubrication is discussed.
出版者	Cambridge University Press
収録物名	Journal of Mechanics
巻(号)	36(5)
ページ	637-648
刊行年月	2020-08-14
言語	英語
ハンドルURL	https://hdl.handle.net/11094/76915
PISSN	17277191
eISSN	18118216
NCID	AA12373576
関連情報 (isVersionOf)	DOI (出版社版) https://doi.org/10.1017/jmech.2020.38
アクセス権	open access
権利情報	© 2020 The Society of Theoretical and Applied Mechanics.
出版タイプ	Accepted Manuscript
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Journal of Mechanics. 2020, 36(5), p. 637-648
DC.title	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
DC.creator	Tazaki, Asahi
	Takeuchi, Shintaro
	Miyauchi, Suguru
	Zhang, Lucy T.
	Onishi, Ryo
	Kajishima, Takeo
DC.publisher	Cambridge University Press
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-08-14
DC.identifier	https://doi.org/10.1017/jmech.2020.38
DC.subject	Lubrication
	Permeable membrane
	Pressure discontinuity
	Discrete-forcing immersed boundary method
DC.description	This article has been published in a revised form in Journal of Mechanics [https://doi.org/10.1017/jmech.2020.38]. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © 2020 The Society of Theoretical and Applied Mechanics.
DCTERMS.abstract	To understand the lubrication-dominated permeation through a membrane, numerical simulations of permeation through a moving corrugated permeable membrane is carried out with a fully validated numerical method. Through comparisons between the numerical results and the results of an asymptotic analysis of permeate flux (under an infinitesimal permeability condition) using Reynolds lubrication equation, the effect of permeation on lubrication and its inverse effect (i.e., the dependence of permeation on lubrication) are discussed. The linear and nonlinear dependences of the relaxation of the lubrication pressure due to membrane permeation are identified. The effect of the tangential component of the permeate flux is evaluated by a linear analysis, and the limitation of Reynolds-type lubrication is discussed.
DC.rights	© 2020 The Society of Theoretical and Applied Mechanics.
DC.format	76915
citation_title	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
citation_author	Tazaki, Asahi
	Takeuchi, Shintaro
	Miyauchi, Suguru
	Zhang, Lucy T.
	Onishi, Ryo
	Kajishima, Takeo
citation_publisher	Cambridge University Press
citation_language	英語
citation_date	2020-08-14
citation_journal_title	Journal of Mechanics
citation_volume	36
citation_issue	5
citation_firstpage	637
citation_lastpage	648
citation_doi	https://doi.org/10.1017/jmech.2020.38
citation_public_url	https://hdl.handle.net/11094/76915

Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication

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